874138507092480 has 1280 divisors, whose sum is σ = 3357398964142080. Its totient is φ = 189794246197248.

The previous prime is 874138507092469. The next prime is 874138507092493. The reversal of 874138507092480 is 84290705831478.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90145246992 + ... + 90145256688.

It is an arithmetic number, because the mean of its divisors is an integer number (2622967940736).

Almost surely, 2^{874138507092480} is an apocalyptic number.

874138507092480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874138507092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678699482071040).

874138507092480 is an abundant number, since it is smaller than the sum of its proper divisors (2483260457049600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

874138507092480 is a wasteful number, since it uses less digits than its factorization.

874138507092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 874138507092480 in words is "eight hundred seventy-four trillion, one hundred thirty-eight billion, five hundred seven million, ninety-two thousand, four hundred eighty".